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Simplifying 5(b + -6) + 7b = 12 Reorder the terms: 5(-6 + b) + 7b = 12 (-6 * 5 + b * 5) + 7b = 12 (-30 + 5b) + 7b = 12 Combine like terms: 5b + 7b = 12b -30 + 12b = 12 Solving -30 + 12b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12b = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 12b = 12 + 30 12b = 12 + 30 Combine like terms: 12 + 30 = 42 12b = 42 Divide each side by '12'. b = 3.5 Simplifying b = 3.5
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